5x+4x(x-3)=(2x+6)(2x-6)+17x

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Solution for 5x+4x(x-3)=(2x+6)(2x-6)+17x equation: 


Simplifying
5x + 4x(x + -3) = (2x + 6)(2x + -6) + 17x

Reorder the terms:
5x + 4x(-3 + x) = (2x + 6)(2x + -6) + 17x
5x + (-3 * 4x + x * 4x) = (2x + 6)(2x + -6) + 17x
5x + (-12x + 4x2) = (2x + 6)(2x + -6) + 17x

Combine like terms: 5x + -12x = -7x
-7x + 4x2 = (2x + 6)(2x + -6) + 17x

Reorder the terms:
-7x + 4x2 = (6 + 2x)(2x + -6) + 17x

Reorder the terms:
-7x + 4x2 = (6 + 2x)(-6 + 2x) + 17x

Multiply (6 + 2x) * (-6 + 2x)
-7x + 4x2 = (6(-6 + 2x) + 2x * (-6 + 2x)) + 17x
-7x + 4x2 = ((-6 * 6 + 2x * 6) + 2x * (-6 + 2x)) + 17x
-7x + 4x2 = ((-36 + 12x) + 2x * (-6 + 2x)) + 17x
-7x + 4x2 = (-36 + 12x + (-6 * 2x + 2x * 2x)) + 17x
-7x + 4x2 = (-36 + 12x + (-12x + 4x2)) + 17x

Combine like terms: 12x + -12x = 0
-7x + 4x2 = (-36 + 0 + 4x2) + 17x
-7x + 4x2 = (-36 + 4x2) + 17x

Reorder the terms:
-7x + 4x2 = -36 + 17x + 4x2

Add '-4x2' to each side of the equation.
-7x + 4x2 + -4x2 = -36 + 17x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-7x + 0 = -36 + 17x + 4x2 + -4x2
-7x = -36 + 17x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-7x = -36 + 17x + 0
-7x = -36 + 17x

Solving
-7x = -36 + 17x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-17x' to each side of the equation.
-7x + -17x = -36 + 17x + -17x

Combine like terms: -7x + -17x = -24x
-24x = -36 + 17x + -17x

Combine like terms: 17x + -17x = 0
-24x = -36 + 0
-24x = -36

Divide each side by '-24'.
x = 1.5

Simplifying
x = 1.5

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